We extend the Shepard-Bernoulli operators introduced in [1] to the bivariate case. These new interpolation operators are realized by using local support basis functions introduced in [2] instead of classical Shepard basis functions and the bivariate three point extension [3] of the generalized Taylor polynomial introduced by F. Costabile in [4]. The new operators do not require either the use o...

We introduce the Shepard–Bernoulli operator as a combination of the Shepard operator with a new univariate interpolation operator: the generalized Taylor polynomial. Some properties and the rate of convergence of the new combined operator are studied and compared with those given for classical combined Shepard operators. An application to the interpolation of discrete solutions of initial value...

In this paper we apply spatial database and structure to render the paleo-relief of the Borod Basin. The boreholes data are stored in a spatial database. For the effective surface rendering we use local-Shepard interpolation with variable radius, based on a spatial grid and Delaunay triangulation. The generated pictures are more realistic compared to picture generated by mean of other methods. ...

Deep learning has recently been introduced to the field of low-level computer vision and image processing. Promising results have been obtained in a number of tasks including super-resolution, inpainting, deconvolution, filtering, etc. However, previously adopted neural network approaches such as convolutional neural networks and sparse auto-encoders are inherently with translation invariant op...

sam shepard is one of the foremost living american playwrights. he has always been concerned with the problem of identity, specifically the fragmented identity of man living in the postmodern era. such characterization is evident in his plays: true west, fool for love, and a lie of the mind. thus, the present article is to demonstrate the fragmented identity of lee and austin, eddie and may, an...